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BIFURCATIONS OF TRAVELLING WAVE SOLUTIONS TO A COUPLED NONLINEAR WAVE SYSTEM

BIFURCATIONS OF TRAVELLING WAVE SOLUTIONS TO A COUPLED NONLINEAR WAVE SYSTEM
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摘要 Employ theory of bifurcations of dynamical systems to a system of coupled nonlin-ear equations, the existence of solitary wave solutions, kink wave solutions, anti-kink wave solutions and periodic wave solutions is obtained. Under different parametric conditions, various sufficient conditions to guarantee the existence of the above so-lutions are given. Some exact explicit parametric representations of travelling wave solutions are derived. Employ theory of bifurcations of dynamical systems to a system of coupled nonlin-ear equations, the existence of solitary wave solutions, kink wave solutions, anti-kink wave solutions and periodic wave solutions is obtained. Under different parametric conditions, various sufficient conditions to guarantee the existence of the above so-lutions are given. Some exact explicit parametric representations of travelling wave solutions are derived.
作者 Li Ming (Dept. of Math., Qujing Normal Institute, Qujing 655000, Yunnan) Li Xi, Huang Yan (Center for Nonlinear Science Studies, Kunming University of Science and Technology, Kunming 650093, Yunnan)
出处 《Annals of Differential Equations》 2008年第3期270-282,共13页 微分方程年刊（英文版）
基金 the Natural Science Foundation of Yunnan Province (2006B0081M).
关键词 solitary wave solution kink wave solution anti-kink wave solution solitary wave solution kink wave solution anti-kink wave solution
分类号 O175 [理学—基础数学]
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共引文献37

Annals of Differential Equations
2008年 第3期

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